Finding the Third Proportional to 333,144 and 728,424

Step by Step Solution

1. Step 1: Write the proportion equation
   333,144 : 728,424 = 728,424 : x
2. Step 2: Convert to fraction form
   333,144/728,424 = 728,424/x
3. Step 3: Cross multiply
   333,144x = 728,424 × 728,424
4. Step 4: Simplify right side
   333,144x = 530,601,523,776
5. Step 5: Solve for x
   x = 530,601,523,776/333,144
6. Step 6: Final answer
   x = 1,592,709.23